Original full-spectrum practice (generated) — New SHSAT-style questions spanning all seven topic areas of the source materials — ratios & proportions, percents, number system, expressions & equations, word problems & rates, geometry, statistics & probability. Generated by generators/gen_full.py; every answer is computed, not hand-typed. · Added Jul 2, 2026

Practice Test 10

← All teststarget ~45:00 (90s/question, SHSAT pace)00:000 / 30 answered

The SHSAT runs about 90 seconds per question. This 30-question set ≈ 45 min — the timer counts up so you can track your pace.

Ratios & Proportional Relationships

1.
If \(\dfrac{5}{12} = \dfrac{x}{96}\), what is the value of \(x\)?
2.
A recipe uses 5 cups of flour for every 2 cups of sugar. If a baker uses 15 cups of flour, how many cups of sugar are needed?
3.
On a map, 1 inch represents 20 miles. Two towns are 3.5 inches apart on the map. What is the actual distance between them?
4.
Apples cost $2.70 for 6 pounds. At the same rate, how much do 11 pounds cost?

Percents

5.
What is 65% of 220?
6.
A jacket that normally costs $40 is on sale for 20% off. What is the sale price?
7.
A meal costs $120 before tax. With a 15% tax added, what is the total cost?
8.
A plant grew from 240 cm to 300 cm. What was the percent increase?

The Number System

9.
What is the value of \(5 + 4 \times 3^{2} - 3\)?
10.
What is the greatest common factor (GCF) of 18 and 30?
11.
What is the least common multiple (LCM) of 32 and 48?
12.
What is \(\dfrac{4}{5} \div \dfrac{2}{3}\)?

Expressions & Equations

13.
Simplify: \(3x - 3 + 9x + 5\).
14.
Simplify: \(2(2x - 4) - 2x\).
15.
If \(9x + 2 = 83\), what is the value of \(x\)?
16.
If \(4x - 3 = 2x + 13\), what is the value of \(x\)?
17.
What is the value of \(2a^2 - 5a\) when \(a = 3\)?

Word Problems & Rates

18.
A train travels at a steady 54 miles per hour for 2 hours. How far does it travel?
19.
A bus travels 150 miles at a steady 60 miles per hour. How many hours does the trip take?
20.
One printer can finish a print job in 10 hours; a second printer can do it in 40 hours. Working together, how long do they take?
21.
The sum of three consecutive integers is 57. What is the largest of the three?

Geometry

22.
A rectangle is 13 cm long and 3 cm wide. What is its perimeter?
23.
Two angles of a triangle measure 65° and 57°. What is the measure of the third angle?
24.
A circle has a radius of 8 cm. What is its circumference?
25.
A rectangular box measures 5 cm × 3 cm × 3 cm. What is its volume?
26.
A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?

Statistics & Probability

27.
What is the mean of the data set 15, 27, 22, 12, 24?
28.
What is the median of 23, 32, 44, 18, 27?
29.
Amir scored 88, 96, 74, 90 on his first four tests. What must he score on the fifth test to have a mean of exactly 88?
30.
A bag holds 7 red, 2 blue, and 5 green marbles. One marble is drawn at random. What is the probability that it is blue?

Results